On Generalized Galois Cyclic Orbit Flag Codes
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http://hdl.handle.net/10045/122008
Título: | On Generalized Galois Cyclic Orbit Flag Codes |
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Autor/es: | Alonso-González, Clementa | Navarro-Pérez, Miguel Ángel |
Grupo/s de investigación o GITE: | Grupo de Álgebra y Geometría (GAG) |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemáticas |
Palabras clave: | Network coding | Flag codes | Cyclic orbit flag codes | Galois flags |
Área/s de conocimiento: | Geometría y Topología |
Fecha de publicación: | 11-ene-2022 |
Editor: | MDPI |
Cita bibliográfica: | Alonso-González C, Navarro-Pérez MÁ. On Generalized Galois Cyclic Orbit Flag Codes. Mathematics. 2022; 10(2):217. https://doi.org/10.3390/math10020217 |
Resumen: | Flag codes that are orbits of a cyclic subgroup of the general linear group acting on flags of a vector space over a finite field, are called cyclic orbit flag codes. In this paper, we present a new contribution to the study of such codes, by focusing this time on the generating flag. More precisely, we examine those ones whose generating flag has at least one subfield among its subspaces. In this situation, two important families arise: the already known Galois flag codes, in case we have just fields, or the generalized Galois flag codes in other case. We investigate the parameters and properties of the latter ones and explore the relationship with their underlying Galois flag code. |
Patrocinador/es: | This research was funded by Ministerio de Ciencia e Innovación (grant number PID2019-108668GB-I00) and Generalitat Valenciana y Fondo Social Europeo (Grant number ACIF/2018/196). |
URI: | http://hdl.handle.net/10045/122008 |
ISSN: | 2227-7390 |
DOI: | 10.3390/math10020217 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
Revisión científica: | si |
Versión del editor: | https://doi.org/10.3390/math10020217 |
Aparece en las colecciones: | INV - GAG - Artículos de Revistas |
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